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230633145 = 32540112781
BaseRepresentation
bin11011011111100…
…10111010111001
3121001222101012100
431233302322321
5433020230040
634515134013
75500230561
oct1557627271
9531871170
10230633145
11109206106
12652a4309
1338a21522
14228b7da1
15153aab30
hexdbf2eb9

230633145 has 24 divisors (see below), whose sum is σ = 400792392. Its totient is φ = 122688000.

The previous prime is 230633141. The next prime is 230633147. The reversal of 230633145 is 541336032.

It is a happy number.

230633145 is a `hidden beast` number, since 23 + 0 + 633 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 114575616 = 10773^2 + 10704^2 .

It is not a de Polignac number, because 230633145 - 22 = 230633141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230633141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11655 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (16699683).

Almost surely, 2230633145 is an apocalyptic number.

It is an amenable number.

230633145 is a deficient number, since it is larger than the sum of its proper divisors (170159247).

230633145 is a wasteful number, since it uses less digits than its factorization.

230633145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 230633145 is about 15186.6107147052. The cubic root of 230633145 is about 613.2542600158.

Adding to 230633145 its reverse (541336032), we get a palindrome (771969177).

It can be divided in two parts, 230 and 633145, that added together give a triangular number (633375 = T1125).

The spelling of 230633145 in words is "two hundred thirty million, six hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 401 1203 2005 3609 6015 12781 18045 38343 63905 115029 191715 575145 5125181 15375543 25625905 46126629 76877715 230633145